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Finding the Fourth Proportional to 11,811.30, 17,711.40 and 4,413.77

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Solution

The fourth proportional to 11,811.30, 17,711.40 and 4,413.77 is: 6,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.30 : 17,711.40 = 4,413.77 : x
  2. Step 2: Convert to fraction form
    11,811.30/17,711.40 = 4,413.77/x
  3. Step 3: Cross multiply
    11,811.30x = 17,711.40 × 4,413.77
  4. Step 4: Simplify right side
    11,811.30x = 78,174,090.26
  5. Step 5: Solve for x
    x = 78,174,090.26/11,811.30
  6. Step 6: Final answer
    x = 6,618.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.